Differential equation for local magnetization in the boundary Ising model

Details Differential equation for local magnetization in the boundary Ising model Differential equation for local magnetization in the boundary Ising model

2008-08-28

arxiv.org/abs/0808.3808v1

Nucl. Phys. B811:385, 2009

Physics

Mathematical Physics

11 pages

Scientific paper

10.1016/j.nuclphysb.2008.11.005

We show that the local magnetization in the massive boundary Ising model on
the half-plane with boundary magnetic field satisfies second order linear
differential equation whose coefficients are expressed through Painleve
function of the III kind.

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